Chaos, Quantum Recurrences, and Anderson Localization

Shmuel Fishman, D. R. Grempel, and R. E. Prange
Phys. Rev. Lett. 49, 509 – Published 23 August 1982
PDFExport Citation

Abstract

A periodically kicked quantum rotator is related to the Anderson problem of conduction in a one-dimensional disordered lattice. Classically the second model is always chaotic, while the first is chaotic for some values of the parameters. With use of the Anderson-model result that all states are localized, it is concluded that the local quasienergy spectrum of the rotator problem is discrete and that its wave function is almost periodic in time. This allows one to understand on physical grounds some numerical results recently obtained in the context of the rotator problem.

  • Received 6 April 1982

DOI:https://doi.org/10.1103/PhysRevLett.49.509

©1982 American Physical Society

Authors & Affiliations

Shmuel Fishman, D. R. Grempel, and R. E. Prange

  • Department of Physics and Center for Theoretical Physics, University of Maryland, College Park, Maryland 20742

References (Subscription Required)

Click to Expand
Issue

Vol. 49, Iss. 8 — 23 August 1982

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×